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Finding the Fourth Proportional to 4,188.12, 6,282.22 and 1,723.20

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Solution

The fourth proportional to 4,188.12, 6,282.22 and 1,723.20 is: 2,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.12 : 6,282.22 = 1,723.20 : x
  2. Step 2: Convert to fraction form
    4,188.12/6,282.22 = 1,723.20/x
  3. Step 3: Cross multiply
    4,188.12x = 6,282.22 × 1,723.20
  4. Step 4: Simplify right side
    4,188.12x = 10,825,521.50
  5. Step 5: Solve for x
    x = 10,825,521.50/4,188.12
  6. Step 6: Final answer
    x = 2,584.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.